1. Big-O Notation Let fand g be functions from the set of integers or the set of real numbers to the set of real numbers. We say that f (x) is 0 (g (x)), read as "f(x) is big-oh of g (x)", if there are constants C andk such that | f (x)| k.

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Let f and g be functions from the set of integers or the set of real numbers to the set of real numbers. We say that f ( x ) is O ( g ( x ) ), read as "f ( x ) is big-oh of g ( x )", if there are constants C and k such that | f ( x ) | ≤ C | g ( x ) | whenever x > k.

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7. Generating sequences of random-like numbers in a specific range. Xi+1 = aXi + c Mod m
 
where, X, is the sequence of pseudo-random numbers
m, ( > 0) the modulus
a, (0, m) the multiplier
c, (0, m) the increment X0, [0, m) – Initial value of sequence known as seed m, a, c, and X0 should be chosen appropriately to get a period almost equal to m
For a = 1, it will be the additive congruence method.
For c = 0, it will be the multiplicative congruence method
 
 
1. Big-O Notation
Let fand g be functions from the set of integers or the set of real numbers to the set of real numbers.
We say that f ( x ) is 0 (g (x)), read as "f(x) is big-oh of g (x)", if there are constants C and k
such that | f(x)|SC[g(x)|whenever x > k.
Transcribed Image Text:1. Big-O Notation Let fand g be functions from the set of integers or the set of real numbers to the set of real numbers. We say that f ( x ) is 0 (g (x)), read as "f(x) is big-oh of g (x)", if there are constants C and k such that | f(x)|SC[g(x)|whenever x > k.
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